kalman filter
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The Kalman filter, also known as linear quadratic estimation (LQE), is an algorithm that uses a series of measurements observed over time, containing statistical noise|noise (random variations) and other inaccuracies, and produces estimates of unknown variables that tend to be more precise than those based on a single measurement alone. More formally, the Kalman filter operates Recursion|recursively on streams of noisy input data to produce a statistically optimal estimation theory|estimate of the underlying State space (controls)|system state. The filter is named for Rudolf E. Kálmán|Rudolf (Rudy) E. Kálmán, one of the primary developers of its theory. The Kalman filter has numerous Kalman_filter#Applications|applications in technology. A common application is for guidance, navigation and control (engineering)|guidance, navigation and control of vehicles, particularly aircraft and spacecraft. Furthermore, the Kalman filter is a widely applied concept in time series analysis used in fi...
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